Question: The US Department of Education states that students at for-profit institutions represent 11% of all students, and their graduates represent 43% of all education loan defaulters. If 920 students of for-profit institutions who took education loans are surveyed, what is the probability that the proportion of defaulters: (a) is more than 0.39? (b) between 0.38 and 0.46? (c) is less than 0.45?